Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fp |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-92052434604816000 = -1 · 27 · 36 · 53 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52565,15329837] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-3380:1] |
Generators of the group modulo torsion |
j |
-176265952176509/1010177608832 |
j-invariant |
L |
10.09138623833 |
L(r)(E,1)/r! |
Ω |
0.29277264723569 |
Real period |
R |
1.231012036129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999659395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12950i2 116550cq2 |
Quadratic twists by: -3 5 |